Equation Solving
What are two solutions for the equation below if y is 3?
y=5cos(3(x-1/2))+1
0.886 and 1.208
a2=b2+c2- __________
Finish the law of cosine...
2bcCOSA
Find the equation from the graph.
(see drawing)
y=cos(x)
Find x and z (refer to drawing)
<x = 39.29
z = 56.85
What are two solutions to the equation below if y is 17.5?
y=6csc(7/pi(x-2))-3
0.297 and 2.845
What law would you use to solve "A" in this triangle? (refer to drawing)
Law of cosine
Find the equation from the graph.
(see drawing)
y=-5cos(4(x))+10
Convert (x, y) to (r, theta)
(x, y) = (3*root4, 91)
(91.2, 1.55)
What are four solutions to the equation below if y is 8?
y=2sec(3/pi(x-2pi/5))-7
2.761 and 6.331, 9.341 and 12.911
(answers may vary add or subtract wavelength-6.58, to see it is right)
Solve the triangle (refer to the drawing)
X=30.96
Z=159.74
Graph this equation:
y=3cos(pi(x+5))+2
(see drawing)
Graph the equation:
x = t/cos30
y = 4t^2 + t
See drawing
What are two solutions for the equation below if y is 6?
y=cot(pi/3(x-4pi/7))+6
3.295 and 6.295
Find A (refer to drawing)
A=30.7
y = cot(pi(x-15))+5
(see answer on paper)
Convert the polar equation to rectangular
y = root3x + 7
r = (3*cos theta + 7)/sin theta
At a beach, the highest tide first occurs at 8 am, it reaches 9 meters. The lowest tide first occurs at 2 am and only reaches 2 meters. Sally only wants to swim when the tide is below 5 meters. What are two possible time spans when Sally could go swimming?
From 11.274 to 16.856, and from 23.274 to 28.856.
(Answers may vary add or subtract the wavelength to see if your answers are correct)
⭐=39.75degrees
A Ferris wheel at a local amusement park has a diameter of 50 feet and makes one full rotation every 40 seconds. A child gets on the Ferris wheel and starts at the bottom. Create a trig function that shows the child's height above the ground as a function of time. Then, graph this function over a period of 160 seconds
(see answer on paper)
Graph the polar equation:
r = (tan theta) + 7
See drawing